Spontaneous Supersymmetry Breaking and Nambu-Goldstone Fermions in Extended Nicolai Models

by Noriaki Sannomiya (The University of Tokyo)

Tuesday 30 May 2017, 13:30 → 14:30 Asia/Tokyo

Room 433, Main Research Building (RIKEN Wako)

Date: May 30 (Tue) Time: 13:30 - Place: Main Research bldg. 433 Speaker: Noriaki Sannomiya (The University of Tokyo) Title: Spontaneous Supersymmetry Breaking and Nambu-Goldstone Fermions in Extended Nicolai Models Abstract: Spontaneous symmetry breaking and gapless excitations called Nambu-Goldstone (NG) bosons have been studied and well understood in both relativistic and non-relativistic systems. In particular, counting theories on NG bosons in non-relativistic systems have recently attracted much attention [1,2]. On the other hand, less is known about the relation between spontaneous supersymmetry (SUSY) breaking and NG modes in non-relativistic systems. In order to close the gap, we introduce and study two lattice fermion models with SUSY in (1+1) dimension [3,4], which are some extension of the Nicolai model [5]. The Hamiltonian of each model is built from two supercharges. The supercharges have one parameter, and are made up solely of fermion operators. We prove that, under certain conditions, SUSY is spontaneously broken in both finite and the infinite systems. Using analytical and numerical methods, we show that there exist gapless modes associated with SUSY breaking. The dispersion relation of these modes are also discussed. [1] H. Watanabe and H. Murayama, Phys. Rev. Lett. 108, 251602 (2012). [2] Y. Hidaka, Phys. Rev. Lett. 110, 091601 (2013). [3] N. Sannomiya, H. Katsura and Y. Nakayama, Phys. Rev. D 94, 045014 (2016). [4] N. Sannomiya, H. Katsura and Y. Nakayama, Phys. Rev. D 95, 065001 (2017). [5] H. Nicolai, J. Phys. A 9, 1497 (1976). QHP seminars